Show that d-Broglie hypothesis of matter wave supports the Bohr's concept of stationary orbit.

Explanation

When an electron of mass m is confined to move on a line of length l with velocity v, the de-Broglie wavelength `lambda` associated with electron is
`lambda=h/(mv)=h/p or p=h/lambda=h/(2l//n)=(nh)/(2l)`
When electron revolves in a circular orbit of radius r, then `2l=2pir`
`:. p=(nh)/(2pir)`
or `pxxr=(nh)/(2pi)`
i.e., angular momentum `(p xx r)` of electron is integral multiple of `h//2pi`. This is Bohr's quantisation condition of angular momentum.